Animation that produces object change eg curtain drawstring torus
Unfortunately there isn’t enough information to be able to say why your two animations are behaving differently - most likely there is a significant difference such as additional keyframes or differences in geometry (such as negative scale - try ‘Apply Scale’ or check the direction of your normals).
However, to ‘fix’ the state of the cloth simulation into your mesh (so it becomes a static mesh again) you simply play the simulation to the point you want and then in the Modifiers panel click ‘Apply’ on the Cloth modifier. This will apply the current state of the simulation to the mesh and it will no longer be simulated.